Given below are two statements:
Statement-1: The magnetic dipole moment of a current loop is independent of the shape of the loop, provided its area and current are constant.
Statement-2: The magnetic dipole moment of an electron orbiting in an atom is proportional to its orbital angular momentum.

Question

Given below are two statements:

Statement-1: The magnetic dipole moment of a current loop is independent of the shape of the loop, provided its area and current are constant.

Statement-2: The magnetic dipole moment of an electron orbiting in an atom is proportional to its orbital angular momentum.

TestHub · Accepted Answer

Statement-1 is true. The magnetic dipole moment of a current loop is given by $M = I A$ , where $I$ is the current and $A$ is the area vector of the loop. If $I$ and the magnitude of $A$ are constant, then the magnetic moment's magnitude is constant, irrespective of the shape.

Statement-2 is true. For an electron orbiting in an atom, its magnetic dipole moment $μ$ is related to its orbital angular momentum $L$ by the gyromagnetic ratio: $μ = - \frac{e}{2 m _{e}} L$ . This shows proportionality.

Physics - Magnetism Question with Solution | TestHub

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